Math Problem Statement
Solution
The expression in the image is:
To simplify this, we can combine the square roots under one square root as follows:
Therefore, the simplified form of the expression is:
To rationalize the denominator, we multiply the numerator and denominator by :
So the final simplified expression is:
Would you like any further explanation or details?
Here are some related questions:
- How do you rationalize a denominator?
- What are the rules for simplifying square roots?
- Can square roots always be simplified in terms of integers?
- What is the importance of rationalizing the denominator?
- How would the simplification change if there was an additional term?
Tip: Always try to simplify square roots and fractions first before rationalizing the denominator to make calculations easier.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Square Roots
Rationalizing Denominators
Formulas
\( \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}} \)
Rationalizing the denominator: \( \frac{1}{\sqrt{n}} = \frac{\sqrt{n}}{n} \)
Theorems
Properties of Square Roots
Suitable Grade Level
Grades 8-10
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